You can breed just for show, but if you were planning to breed them for food or fiber that's important to know!
So you're looking for a medium-large breed with a medium amount of competition. Here's a list of rabbits you might want to look into: Californian, English Angora, English Lop, English Spot, Florida White, French Angora, French Lop, Havana, Himalayan, Mini Lop, Mini Satin, New Zealand, Rex, Rhinelander, Satin, Satin Angora, Silver Martin, Tan.
That list excludes most dwarf (very small) breeds, as well as the very popular and very rare breeds-at least in my area. You can see pictures of all these breeds here:
http://www.arba.net/Breeds.htm and if you click on the pictures it will usually take you to that breed's website where you can learn more about them.
I REALLY recommend going to a local ARBA show and looking around. There's no substitute for seeing rabbits in person and talking to breeders. If you follow this link you can find upcoming shows in your area:
http://www.arba.net/Shows.htm